Character table for $C_3^3.C_3^2$

		1A	3A1	3A-1	3B1	3B-1	3C1	3C-1	3D1	3D-1	3E1	3E-1	9A1	9A-1	9B1	9B-1	9C1	9C-1	9D1	9D-1	9D2	9D-2	9D4	9D-4	9E1	9E-1	9E2	9E-2	9E4	9E-4	9F1	9F-1	9F2	9F-2	9F4	9F-4
	Size	1	1	1	1	1	1	1	1	1	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9
	3 P	1A	3A-1	3A1	3B-1	3B1	3C-1	3C1	3D-1	3D1	3E-1	3E1	9A-1	9A1	9B-1	9B1	9C-1	9C1	9D2	9D-2	9D4	9D-4	9D-1	9D1	9E2	9E-2	9E4	9E-4	9E-1	9E1	9F2	9F-2	9F4	9F-4	9F-1	9F1
	Type
243.5.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
243.5.1b1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	$1$
243.5.1b2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	$1$
243.5.1c1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	$1$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$
243.5.1c2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$
243.5.1d1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	${\zeta }_3$	$1$	${\zeta }_3$
243.5.1d2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	$1$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$
243.5.1e1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$
243.5.1e2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	${\zeta }_3$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$
243.5.3a1	C	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3a2	C	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3b1	C	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$-1+{\zeta }_3$	$0$	$1+2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$2+{\zeta }_3$	$0$	$1-{\zeta }_3$	$0$	$-2-{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3b2	C	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$-2-{\zeta }_3$	$0$	$-1-2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$1-{\zeta }_3$	$0$	$2+{\zeta }_3$	$0$	$-1+{\zeta }_3$	$1+2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3c1	C	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$-1-2{\zeta }_3$	$0$	$1-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$-1+{\zeta }_3$	$0$	$-2-{\zeta }_3$	$0$	$1+2{\zeta }_3$	$2+{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3c2	C	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$1+2{\zeta }_3$	$0$	$2+{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$-2-{\zeta }_3$	$0$	$-1+{\zeta }_3$	$0$	$-1-2{\zeta }_3$	$1-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3d1	C	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$2+{\zeta }_3$	$0$	$-2-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$-1-2{\zeta }_3$	$0$	$1+2{\zeta }_3$	$0$	$1-{\zeta }_3$	$-1+{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3d2	C	$3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$1-{\zeta }_3$	$0$	$-1+{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$1+2{\zeta }_3$	$0$	$-1-2{\zeta }_3$	$0$	$2+{\zeta }_3$	$-2-{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3e1	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^{-3}$	$3$	$0$	$0$	$0$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$0$
243.5.3e2	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^3$	$3$	$0$	$0$	$0$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$
243.5.3e3	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^{-3}$	$3$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$0$
243.5.3e4	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^3$	$3$	$0$	$0$	$0$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$
243.5.3e5	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^{-3}$	$3$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$0$
243.5.3e6	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^3$	$3$	$0$	$0$	$0$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$
243.5.3f1	C	$3$	$3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$0$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$-{\zeta }_9+{\zeta }_9^4$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3f2	C	$3$	$3$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$0$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3f3	C	$3$	$3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$0$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$-{\zeta }_9-2{\zeta }_9^4$	$0$	$0$	$0$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$2{\zeta }_9+{\zeta }_9^4$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3f4	C	$3$	$3$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$0$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3f5	C	$3$	$3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$0$	$0$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$-{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$-{\zeta }_9-2{\zeta }_9^4$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3f6	C	$3$	$3$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$0$	$0$	$-{\zeta }_9-2{\zeta }_9^4$	$2{\zeta }_9^{-4}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$-{\zeta }_9^{-4}-2{\zeta }_9^2$	$0$	$-{\zeta }_9+{\zeta }_9^4$	$-{\zeta }_9^{-4}+{\zeta }_9^2$	$2{\zeta }_9+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
243.5.3g1	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9+2{\zeta }_9^4$	$0$	${\zeta }_9-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}+2{\zeta }_9^2$	$-2{\zeta }_9-{\zeta }_9^4$	$0$	$0$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$	$0$	${\zeta }_9^{-4}-{\zeta }_9^2$
243.5.3g2	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}-{\zeta }_9^2$	$0$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$	$0$	$0$	$-2{\zeta }_9-{\zeta }_9^4$	${\zeta }_9^{-4}+2{\zeta }_9^2$	$0$	$0$	${\zeta }_9-{\zeta }_9^4$	$0$	${\zeta }_9+2{\zeta }_9^4$
243.5.3g3	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9-{\zeta }_9^4$	$0$	${\zeta }_9+2{\zeta }_9^4$	$0$	$0$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$	${\zeta }_9-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}-{\zeta }_9^2$	$0$	${\zeta }_9^{-4}+2{\zeta }_9^2$
243.5.3g4	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}+2{\zeta }_9^2$	$0$	${\zeta }_9^{-4}-{\zeta }_9^2$	$0$	$0$	${\zeta }_9-{\zeta }_9^4$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$	$0$	$0$	${\zeta }_9+2{\zeta }_9^4$	$0$	$-2{\zeta }_9-{\zeta }_9^4$
243.5.3g5	C	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9-{\zeta }_9^4$	$0$	$-2{\zeta }_9-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}-{\zeta }_9^2$	${\zeta }_9+2{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}+2{\zeta }_9^2$	$0$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$
243.5.3g6	C	$3$	$3{\zeta }_9^3$	$3{\zeta }_9^{-3}$	$3$	$3{\zeta }_9^3$	$3$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^{-3}$	$3{\zeta }_9^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9^{-4}-{\zeta }_9^2$	$0$	${\zeta }_9^{-4}+2{\zeta }_9^2$	$0$	$0$	${\zeta }_9+2{\zeta }_9^4$	${\zeta }_9^{-4}-{\zeta }_9^2$	$0$	$0$	$-2{\zeta }_9-{\zeta }_9^4$	$0$	${\zeta }_9-{\zeta }_9^4$